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Simplifying (2y + 5)(3m + -4n) = 0 Reorder the terms: (5 + 2y)(3m + -4n) = 0 Multiply (5 + 2y) * (3m + -4n) (5(3m + -4n) + 2y * (3m + -4n)) = 0 ((3m * 5 + -4n * 5) + 2y * (3m + -4n)) = 0 ((15m + -20n) + 2y * (3m + -4n)) = 0 (15m + -20n + (3m * 2y + -4n * 2y)) = 0 (15m + -20n + (6my + -8ny)) = 0 Reorder the terms: (15m + 6my + -20n + -8ny) = 0 (15m + 6my + -20n + -8ny) = 0 Solving 15m + 6my + -20n + -8ny = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20n' to each side of the equation. 15m + 6my + -20n + 20n + -8ny = 0 + 20n Combine like terms: -20n + 20n = 0 15m + 6my + 0 + -8ny = 0 + 20n 15m + 6my + -8ny = 0 + 20n Remove the zero: 15m + 6my + -8ny = 20n Add '8ny' to each side of the equation. 15m + 6my + -8ny + 8ny = 20n + 8ny Combine like terms: -8ny + 8ny = 0 15m + 6my + 0 = 20n + 8ny 15m + 6my = 20n + 8ny Reorder the terms: 15m + 6my + -20n + -8ny = 20n + -20n + 8ny + -8ny Combine like terms: 20n + -20n = 0 15m + 6my + -20n + -8ny = 0 + 8ny + -8ny 15m + 6my + -20n + -8ny = 8ny + -8ny Combine like terms: 8ny + -8ny = 0 15m + 6my + -20n + -8ny = 0 The solution to this equation could not be determined.
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